Localization effects for eigenfunctions near to the edge of a thin domain
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Publication:4783792
DOI10.21136/mb.2002.134169zbMath1022.74003OpenAlexW2156972024MaRDI QIDQ4783792
Publication date: 9 December 2002
Full work available at URL: https://eudml.org/doc/32801
spectrumboundary layerthin domainLaplacianmixed boundary value problemtrapped modelocalized eigenfunction
Asymptotic behavior of solutions to PDEs (35B40) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)
Related Items (8)
On the spectrum of the Dirichlet Laplacian in a narrow strip ⋮ Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign ⋮ The localization for eigenfunctions of the Dirichlet problem in thin polyhedra near the vertices ⋮ Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands ⋮ Asymptotic solution of the theory of shell boundary value problem ⋮ Localization near the corner point of the principal eigenfunction of the Dirichlet problem in a domain with thin edging ⋮ Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube ⋮ Localization effect for Dirichlet eigenfunctions in thin non-smooth domains
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